Final answer:
To find out how many guests Tamya and her brother each invited to the party, we set up an equation and solved it, finding that Tamya's brother invited 11 people, and Tamya invited 30 guests.
Step-by-step explanation:
The question requires solving a simple linear equation to find out how many guests Tamya and her brother each invited to the birthday party. Let's define the number of people Tamya's brother invited as x. According to the question, Tamya invited 19 more people than her brother. Therefore, Tamya invited x + 19 guests.
Adding both quantities gives us the total number of people who attended the party:
- x (brother's guests) + (x + 19) (Tamya's guests) = 41 (total guests)
Combining like terms and solving for x:
- 2x + 19 = 41
- 2x = 41 - 19
- 2x = 22
- x = 11
So, Tamya's brother invited 11 people. Tamya invited 11 + 19, which equals 30 guests.